IJPAM: Volume 48, No. 3 (2008)

SHORT EXACT SEQUENCES OF TOTALLY STABLE
VECTOR BUNDLES ON CURVES OF COMPACT TYPE

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Let $X$ be a projective curve of compact type whose irreducible components have genus $\ge 2$. Here we prove the existence of many short exact sequence of vector bundles on $X$, which are stable with respect to all polarizations of $X$.

Received: August 8, 2008

AMS Subject Classification: 14H60

Key Words and Phrases: stable vector bundle, reducible curve, curve of compact type

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 3